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Finding the Fourth Proportional to 268.99, 370.99 and 175.75

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Solution

The fourth proportional to 268.99, 370.99 and 175.75 is: 242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.99 : 370.99 = 175.75 : x
  2. Step 2: Convert to fraction form
    268.99/370.99 = 175.75/x
  3. Step 3: Cross multiply
    268.99x = 370.99 × 175.75
  4. Step 4: Simplify right side
    268.99x = 65,201.49
  5. Step 5: Solve for x
    x = 65,201.49/268.99
  6. Step 6: Final answer
    x = 242.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.